I
...want to know more about my T because it feels really weird having such an artificial relationship where all the personal info comes form one person. I know this is a professional and therefore artificial relationship, but it still feels weird.

...don't want to know more about my T because then it might affect my behaviour in inappropriate ways, avoiding their locale, visiting it more? Best not to know so it doesn't have a chance of affecting me.

...want to know what he really thinks of me, rather than the Therapist focussed responses I get to things I say.

...don't want to know what he really thinks of me, because those opinions would interfere with the therapy and not help.

...want to show him the side of me that shows outside this therapy, that exists in the real world, which must look a lot more competent than the quivering wreck he sees.

...want to know him outside therapy, but mainly because this professional relationship is of finite duration, and the idea of it ending is scary.